   Chapter 19, Problem 40P

Chapter
Section
Textbook Problem

The orientation of small satellites is often controlled using torque from current-carrying coils in Earth’s magnetic field. Suppose a multiturn coil has a cross-sectional area of 6.36 × 10−4 m2, dissipates 0.200 W of electrical power from a 5.00-V power supply, and provides a magnetic moment of magnitude 0.020 0 A · m2. (a) Find the coil current I. (b) Calculate the number of turns in the coil. (c) Calculate the maximum magnitude of torque if Earth’s magnetic field has magnitude 3.75 × 10−5 T at the satellite’s location.

a)

To determine
The coil current I .

Explanation

Given info: The cross-sectional area of the multi turn coil is 6.36×104m2 . The coil dissipates 0.200W of electrical power from a 5.00V power supply. The coil provides a magnetic, moment of magnitude 0.0200Am2 .

Explanation:

The electrical power in a coil carrying current is given by,

P=Iε

• ε is the voltage of the power supply
• I is the current on the wire

On re-arrangement,

I=Pε

Substitute 0

b)

To determine
The number of turns in the coil.

c)

To determine
The maximum magnitude of torque on the coil due to earth’s magnetic field.

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